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Volumes of 3D and Composite Figures: LT 6.7 Name Date Class Visualization Suppose you revolve the plane region completely about the given line to sweep out a solid of revolution. Describe the solid
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How to fill out volumes of 3D and:

01
Start by gathering all the necessary measurements and data required to calculate the volume of the 3D object. This may include the length, width, and height of the object, or any other relevant dimensions depending on the shape.
02
Use the appropriate formula to calculate the volume based on the dimensions given. For example, the formula for calculating the volume of a rectangular prism is length x width x height.
03
Plug in the values into the formula and calculate the volume. Make sure to double-check your computations to ensure accuracy.
04
Once you have the volume, record it properly on the desired medium. This could be a paper document, a spreadsheet, or any other means of keeping track of data.
05
Repeat the process for each 3D object that needs its volume calculated. Remember to adjust the formula and dimensions according to the specific shape of each object.

Who needs volumes of 3D and:

01
Architects: Architects often need to calculate the volumes of 3D structures as part of their design process. It helps them determine the amount of materials needed, optimize space usage, and ensure structural stability.
02
Engineers: Engineers use volume calculations to design and analyze various systems and structures. Whether it's a hydraulic system, a chemical reactor, or a transportation network, understanding the volume is crucial for efficient and reliable operation.
03
Scientists: In scientific research, the volume of 3D objects is relevant in various fields such as geology, physics, and biology. It helps scientists understand the characteristics and behavior of different objects or substances.
04
Construction professionals: Builders, contractors, and construction managers rely on volume calculations to estimate costs, plan resource allocation, and ensure accurate project execution. This is particularly important when working with concrete, soil excavation, or determining the capacity of storage tanks.
05
Artists and designers: Artists and designers often use volume calculations to create realistic 3D models and sculptures. It helps them understand proportions, balance, and visual impact when working with different materials and forms.
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